Question

please answer my question

Answer 1

Step-by-step explanation:

Let xy denote the two digit number so that x is in ten place and y is in unit place. Therefore,

The number is 10x + y and the sum of the digits is x + y

To find the number xy?

(10 x + y)/(x + y) = 4/1

Cross-multiplying,

10 x + y = 4 x + 4 y

Transpose 4x to LHS and y to LHS and get

6 x = 3 y

Dividing through by 3,

2x = y…………………………..…………….(1)

It is given in the question that digit in unit place is 3 more than the digit in tens place. This gives us the second equation

y = x + 3…………………………………..…(2)

Substituting for y = x+ 3 from (2) into (1),

2x = x+3

Transposing x to left,

x = 3

Putting x= 3 in (2),

y = 6

Using the above values of x and y,

The number is 36 (Proved)

Verification:

Digit in unit place is 6 . Digit in ten place = 3. 6 is more than 3 by 3.

Sum of the digits in the number = 6+3 = 9

The number represented by xy = 10x3 + 6 =36

Sum of ratio of the number to sum of digits in number 36 = 36/9 = 4/1

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